Difference schemes for numerical solutions of lagging models of heat conduction

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Title: Difference schemes for numerical solutions of lagging models of heat conduction
Authors: Cabrera Sánchez, Jesús | Castro, María Ángeles | Rodríguez, Francisco | Martín Alustiza, José Antonio
Research Group/s: Ecuaciones Diferenciales con Retardo | Análisis de Datos y Modelización de Procesos en Biología y Geociencias
Center, Department or Service: Universidad de Alicante. Departamento de Matemática Aplicada
Keywords: Non-Fourier heat conduction | DPL models | Finite differences | Convergence and stability
Knowledge Area: Matemática Aplicada
Issue Date: Apr-2013
Publisher: Elsevier
Citation: Mathematical and Computer Modelling. 2013, 57(7-8): 1625-1632. doi:10.1016/j.mcm.2011.10.048
Abstract: Non-Fourier models of heat conduction are increasingly being considered in the modeling of microscale heat transfer in engineering and biomedical heat transfer problems. The dual-phase-lagging model, incorporating time lags in the heat flux and the temperature gradient, and some of its particular cases and approximations, result in heat conduction modeling equations in the form of delayed or hyperbolic partial differential equations. In this work, the application of difference schemes for the numerical solution of lagging models of heat conduction is considered. Numerical schemes for some DPL approximations are developed, characterizing their properties of convergence and stability. Examples of numerical computations are included.
URI: http://hdl.handle.net/10045/44393
ISSN: 0895-7177 (Print) | 1872-9479 (Online)
DOI: 10.1016/j.mcm.2011.10.048
Language: eng
Type: info:eu-repo/semantics/article
Peer Review: si
Publisher version: http://dx.doi.org/10.1016/j.mcm.2011.10.048
Appears in Collections:INV - MODDE - Artículos de Revistas
INV - EDR - Artículos de Revistas

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